MCV4U

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Welcome to MCV 4U!

Getting Started

  • This class will be full of instruction
  • Please try to keep up to date with the class notes.
  • Any comments please use the discussion here.

Thank you
Mrs. Bégin
adele.begin@gmail.com


Day
 Date
 Unit
 LESSON
 Handouts
 HOMEWORK
1
 4-Jan-11
 1
 Rates of change review, Rationalizing and factoring review,
Gettingstartedreviewprereq.pdf

u1ls3hoRates_of_Change.pdf

u1ls1hoRadical_Expressions.pdf

 pg. 3 #11, 12pg. 9 #2, 3 ,pg. 2 #1bf, 2bdef, 8abcefpg. 9 #4b, 6cd, 7ac, Limits10, Limits 11, First Principle
2
 5-Jan-11
 1
 The slope of a tangent (first principles)
u1ls2hoSlope_of_Tangent.pdf

 pg. 18 #1b, 3c, 4de, 6c, 10b, 11cde, 14, 20, 22, 24
3
 6-Jan-11
 1
 Introduction to limits
u1ls4hoLimit_of_a_Function.pdf

 pg. 38 #4, 5, 6, 7, 8, 11, 12, 13 034 - 1.4,
pg. 45 #1, 3, 4abdef, 5, 6, 10ab,
u1ls3wSlim10.pdf

u1ls3wSlim11.pdf

u1ls4wslim06.pdf

u1ls4ws1lim08.pdf
4
 7-Jan-11
 1
 Continuity and infinite limits
u1ls6hoContinuity.pdf

 pg. 45 #7-10cd, 12 &/or 13, 16
pg. 51 #1, 4 odd, 7, 11-17 ,pg. 37 #1, 2,
5
 10-Jan-11
 1
 Limits as x approaches infinity
pg. 193 #3, 16 + extra questions on last page of lesson
u1ls6lim09.pdf

u1ls6lim07.pdf
6
 11-Jan-11
 1
 The derivative!, Differentiability
u2ls1hoDerivative_Function.pdf

 pg. 73 #2, 4bce, 5, 6, 9, 11, 13, 14, 15, 19 ,pg. 73 #1, 3, 7, 12, 16,
u2ls1ws4DifferentiabilityI.pdf

u2ls1ws5DifferentiabilityII.pdf

u2ls1ws6aDifferentiabilityIII.pdf

u2ls1wsFirstPrinciples.pdf

u2ls1ws6DifferentiabilityIV.pdf
7
 12-Jan-11
 1
u2l2hoDerivofPolyFunctions.pdf

 pg. 193 #3, 16 + extra questions on last page of lesson
u2ls2wsDerNormal.pdf

u2ls2wsDerPolynom.pdf
8
 13-Jan-11
 1
 The derivative!, Differentiability
 ,
 pg. 73 #2, 4bce, 5, 6, 9, 11, 13, 14, 15, 19 ,pg. 73 #1, 3, 7, 12, 16, 18, 20
u2ls2wsDerPowFunction.pdf

u2ls2wsDerPowSumDiff.pdf
9
 14-Jan-11
 1
 Finding some shortcuts!
u2ls2nBasic_Differentiation_Rules.pdf

 pg. 82 #2-4(odd), 6a, 7c, 9cf, 13, 17a, 18, 25iii Challenge? Try #26 and/or #28
u2ls2wsDerTanLines.pdf

u2ls2wsDerTanLinesII.pdf

u2ls2wsDerTanLinesIII.pdf

u2ls2wsDerTanLinesIV.pdf

u2ls2wsDerTanLinesV.pdf

u2ls2wsDerTanLinesVI.pdf

u2ls2wsDerTanLineVII.pdf
10
 17-Jan-11
 1
 Product & chain rule
u2ls3hoProduct_Rule.pdf

 pg. 90 #1acef, 5ce, 6, 7a or b, 9, Challenge: 13 and/or 14,
u2ls3ws1DerProdRule.pdf
11
 18-Jan-11
 1
 Chain rule, Quotient rule
u2ls4hoQuotient_Rule.pdf

 pg. 105 #1, 2c, 4, 5odd, 6, 7, 8odd, 9b, 10, 11, 13ab, 14, 15,pg. 97#4adf, 5cd, 6, 7, 8, 9, 10 Try any of #13-#17
u2ls4wsDerQuotientRule.pdf

19-Jan-11
Chain rule
u2ls5hoChain_Rule.pdf
u2ls5wsDerChainRule.pdf

u2ls5wsDerPowProChainRule.pdf

20-Jan-11
Review
u2ls5wsDerPowProChainRuleII.pdf

u2ls5wsDerPowProChainRuleIII.pdf

21-Jan-11
Quiz 2
u2ls5wsDerProChainRule.pdf
u2ls5wsDerQuoChainRule.pdf
12
1
 Position, Velocity and Acceleration Part
u3l1hoHighOrderDerVelAccel.pdf

u3l3hoOptimization.pdf

 pg. 30 #1, 5, 6, 7, 11,pg. 127 #4, 5, 6, 7, 8, 11
u3l1wsDerVelAccel.pdf

u3l1wsDerVelAccelII.pdf

u3l1wsDerVelAccelIII.pdf
13
1
 Position, Velocity, and Acceleration Part
u3l2hoMaxMinIntExtreme.pdf

 pg. 127 #2odd, 3ace (graph also), 9, 10, 12, 14, 16, 17
u3l1wsDerHighRational.pdf

u3l1wsDerHighOrder.pdf

u3l1wsDerHighOrderII.pdf
14




15
 24-Jan-11
 2
 Extreme values
u3l3hoOptimization.pdf

 pg. 136 #1, 3even, 4, 6, 12, maybe 14?
16
 25-Jan-11
 2
 Intervals of increase & decrease
41h_Increasing_and_Decreasing_Functions.pdf

 pg. 169 #1-3, 4cdf, 5, 7, 9, 10
17
 26-Jan-11
 2
 First derivative test and critical points
42h_Critical_Points_Local_Maxima_and_Minima.pdf

 pg. 178 #1, 3ab, 5bd, 7de, 9, 10, 12, 14
18
 27-Jan-11
 2
 Asymptotes
43h_Vertical_and_Horizontal_Asymptotes.pdf

43_Vertical_and_Horizontal_Asymptotes.pdf

 pg. 193 #1b, 3 (refresher), 4-5(odd),7odd, 10, 12, 13, 15
19
 28-Jan-11
 2
 Concavity and the 2nd derivative test
44h_Concavity_and_Points_of_Inflection.pdf

44_Concavity_and_Points_of_Inflection.pdf

 pg. 205 #1, 4ac, 5, 8, 9 and/or 11
20
 31-Jan-11
 2
 Sketching the curve putting it all together
45_An_Algorithm_for_Curve_Sketching.pdf

45h_An_Algorithm_for_Curve_Sketching.pdf

 pg. 212 #4&5 (odd), 6, 7, 11, Practice:pg.213 #4&5 (even), 8, 10 + worksheet
app01.pdf

app02.pdf

app03.pdf

app04.pdf

app05.pdf
21
 1-Feb-11
 2
 Implicit differentitation
Worksheet
22
 2-Feb-11
 2
 Optimization problems
 optimization handout.pdf
 pg. 137 #6,8, 9, 10, 11 +
23
 3-Feb-11
 2
 Additional word problems (including related rates)
 handout solutions.pdf
 Extra Practice for Related Rates - related_rates_extra_practice_questions.pdf
24
 4-Feb-11
Test 1
Unit 1 and 2
25
 7-Feb-11
 3
 y=e^x and its derivative
 eanditsderivative.pdf
 pg. 232 #3,6-8, 11c, 13, and 16 if you’re feeling ambitious
26
 8-Feb-11
 3
 Derivatives of the natural logarithm
 homework worksheet.pdf
 Worksheet – Questions identified at the top of each page
27
 9-Feb-11
 3
 Derivatives of logarithms and exponentials
Complete the investigation and make notes on the wrap –pg. 235-239. Trypg. 240 #1-10
28
 10-Feb-11
MIDTERM Unit 1 and 2

29
 11-Feb-11
 3
 Optimizing and modelling with exponentials
pg. 240 #1 odd, 2 odd, 3-9,pg. 245 #1, 4, 5, 6, and of 7-15
30
 14-Feb-11
 3
 Derivative of sinx and cosx
pg. 256 #1-5 (odd), 6ab, 7, 9, 10, 12 and/or 13, Challenge: 1
31
 15-Feb-11
 3
 Derivative of tanx
pg. 260 #1-11
32
 16-Feb-11
Quiz 2 Unit 3
 Assignment #
 Assignment #4 Solutions assignment#4_mcv4u_solutions.pdf
33
 17-Feb-11
 4
 Introduction to vectors
 intro to vectors.pdf
 pg. 279 #1-5,8,9,11
34
 18-Feb-11
 4
 Addition and subtraction of vectors
 addition and subtraction of vectors.pdf
 pg. 290 #1, 3, 4, 5, 7, 9, 11, 13
35
 21-Feb-11
FAMILY DAY NO CLASSES

36
 22-Feb-11
 4
 Scalar multiplication of vectors
 scalar multiplication of vectors.pdf
 pg. 298 #1-5, 7a, 9, 11, 13, 15, 18, 22
37
 23-Feb-11
 4
 Properties of vectors investigation
 properties of vectors.doc
 pg. 307 #5-11
38
 24-Feb-11
 4
 Cartesian Vectors
 cartesian vectors.pdf
39
 25-Feb-11
 4
 Applications of vector addition
 applications of vector addition.pdf
40
 28-Feb-11
 4
 Dot product (Geometric Vectors)
 dotproduct geometricvectors.pdf
41
 1-Mar-11
 4
 Dot product (Cartesian Vectors)
 dotproduct cartesian.pdf
42
 2-Mar-11
 4
 Scalar and vector projections (applications of dot product)
 scalar and vector projections.pdf
43
 3-Mar-11
Test 2 Units 3 & 4

44
 4-Mar-11
 5
 Introduction to vectors in 3 space
 intro to 3 space.pdf
 pg. 317 #3,5-8,13,15,pg. 332 #1
45
 7-Mar-11
 5
 Operations with vectors in 3 space
 operations in 3 space in complete.pdf
 pg. 332 #2-7, 9ab, 12-15
46
 8-Mar-11
 5
 Linear Combinations and Spanning Sets
 linear combinations.pdf
 pg. 340 #1,3,6,7,8, 10, 11, 13, 15
47
 9-Mar-11
 5
 Dot product in 3 space
 dotproductin space.pdf
 pg. 385 #2bc,3-5, 6cd, 7a, 10, 13a, 15, 17, 20(challenge)
48
 10-Mar-11
 5
 Cross Product
 crossproduct.pdf
 1) Complete the investigation regarding the properties of the cross product on pg. 405, 2)pg. 407 #3, 4be, 5, 6, 7
49
 11-Mar-11
 5
 Applications of Cross Product, Unit Review topics and questions
 applications of cross product.pdf, test #3 review.pdf
50
 14-Mar-11
 5
 Test 3 Unit 5
 Unit
51
 15-Mar-11
 6
 Equations of lines and planes in 3 space
 lines in 3 space.pdf
 pg. 433 #4,5,7,10,11pg. 443 #1,5,6,9,11
52
 16-Mar-11
 6
 Equations of lines and planes in 3 space
 lines in 3 space.pdf
 pg. 443 #1,8,10add, 14pg. 449 #1odd, 5odd, 6, 9, 12
53
 17-Mar-11
 6
 Equations of planes
 equationsofplanes.pdf
 pg. 459 #1,3,5,6ab, 7-9, 11pg. 468 #1,6-8, 11, 13-14
54
 18-Mar-11
 6
 Properties of Planes
 propertiesofplanes.pdf
 pg. 460 #10,13, 15pg. 468 #2,3,5,8,9,13,14,15
55
 21-Mar-11
 6
 Quiz 3
 Chapter properties of lines and planes
 exercise5.2solutions.pdf
56
 22-Mar-11
 6
 Intersection of lines in 3 space
 intersectionoflines.pdf
 pg. 497 #8-12, 15
57
 23-Mar-11
 6
 Intersection of lines and planes
 intersectionoflinesandplanes.pdf
 pg. 497 #3, 4-8, 9odd, 14, 17
58
 24-Mar-11
 6
 Intersections of planes (and intro to matrices)
 intersectionoftwoplanes.pdf
 pg. 507 #3a, 9, 11, 12, 13pg. 517 #6-10
59
 25-Mar-11
 6
 Intersection of planes
 intersection of three planes.pdf
 pg. 531 #5, 6, 13, 14, 15
60
 28-Mar-11
 6
 Test 4 Unit 6
 Chapter intersections of lines and planes

29-Mar-11
Final Review


30-Mar-11




31-Mar-11




Resourses Online
1. Paul's Online Math Notes [Algebra] [Calculus I Online] [Calculus I PDF] [Cheat Sheets]
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4. HMC Mathematics Online Tutorial [PreCalculus] [Single Variable Calculus]
5. The Calculus Lifesaver [Video Page]
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14. The UBC Calculus Online [Course Notes]
15. Math Applets for Calculus at SLU [Go]
16. MathCentre [Go Rate of Change and the Difference Quotient
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